(15+3x)(3x)=(19+8)(8)

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Solution for (15+3x)(3x)=(19+8)(8) equation: 


Simplifying
(15 + 3x)(3x) = (19 + 8)(8)

Remove parenthesis around (3x)
(15 + 3x) * 3x = (19 + 8)(8)

Reorder the terms for easier multiplication:
3x(15 + 3x) = (19 + 8)(8)
(15 * 3x + 3x * 3x) = (19 + 8)(8)
(45x + 9x2) = (19 + 8)(8)

Combine like terms: 19 + 8 = 27
45x + 9x2 = (27)(8)

Multiply 27 * 8
45x + 9x2 = 216

Solving
45x + 9x2 = 216

Solving for variable 'x'.

Reorder the terms:
-216 + 45x + 9x2 = 216 + -216

Combine like terms: 216 + -216 = 0
-216 + 45x + 9x2 = 0

Factor out the Greatest Common Factor (GCF), '9'.
9(-24 + 5x + x2) = 0

Factor a trinomial.
9((-8 + -1x)(3 + -1x)) = 0

Ignore the factor 9.

Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '8' to each side of the equation.
-8 + 8 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-8, 3}

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